A predator-prey interaction model with self and cross-diffusion

In this paper, a mathematical model for a predator-prey interaction with self and cross-diffusion is proposed and analysed. Criteria for local stability. instability and global stability are obtained. The effect of the critical wave length which can drive a system to instability is investigated. The effect of time-varying cross-diffusivity on the stability of the system is also examined. (C) 2001 Elsevier Science B.V. All rights reserved.